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ivanzaharov [21]
3 years ago
14

Kareem and Kira each opened a savings account today. Kareem opened his account with a starting amount of $770, and he is going t

o take out $30 per month. Kira opened her account with a starting amount of $935, and she is going to take out $45 per month. Let x be the number of months after today.
Required:
How many months will it take you to save enough money to buy 10 acres of land on Mars?
Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0

Answer:

Step-by-step explanation:

The question is not complete, i think the correct question is:

Kareem and Kira each opened a savings account today. Kareem opened his account with a starting amount of $770, and he is going to deposit $30 per month. Kira opened her account with a starting amount of $935, and she is going to deposit $45 per month. Let x be the number of months after today

Let us assume that each acre of land on Mars cost $107.

a) For Kareem account, she started with $770 and would deposit $30 per month. Let y represent the money deposited after x month. This can be represented by the equation:

y = 770 + 30x

Since each acre cost $107, 10 acre would cost $1070. Therefore $1070 is needed to be saved. To find the number of months, substitute y = 1070 and solve. Therefore:

1070 = 770 + 30x

1070 - 770 = 30x

30 x = 300

x = 300/30

x = 10

It would take 10 months for Kareem to buy 10 acres of land

b) For Kira account, she started with $935 and would deposit $45 per month. This can be represented by the equation:

y = 935 + 45x

Since each acre cost $107, 10 acre would cost $1070. Therefore $1070 is needed to be saved. To find the number of months, substitute y = 1070 and solve. Therefore:

1070 = 935 + 45x

1070 - 935 = 45x

45 x = 135

x = 3

It would take 3 months for Kira to buy 10 acres of land

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The complete question in the attached figure

we have that
tan a=7/24    a----> III quadrant
cos b=-12/13   b----> II quadrant
sin (a+b)=?

we know that
sin(a + b) = sin(a)cos(b) + cos(a)sin(b<span>)
</span>
step 1
find sin b
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step 2
Find sin a and cos a
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tan a=sin a /cos a-------> sin a=tan a*cos a-----> sin a=(7/24)*cos a
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sin²a=1-cos²a------> equation 2
equals 1 and 2
(49/576)*cos²a=1-cos²a---> cos²a*[1+(49/576)]=1----> cos²a*[625/576]=1
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cos a=-24/25
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sin b=5/13
cos b=-12/13
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sin (a+b)=-36/325

the answer is
sin (a+b)=-36/325

8 0
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= 4                      4
-----       /           ----
  9                       5

</span>= 4                      5
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= 20
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= 5
-----
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